The gap phenomenon for variational integrals in Sobolev spaces

DOI10.1017/S0308210500015006zbMath0749.58019OpenAlexW2314159362MaRDI QIDQ3991035

Jiří Souček, Giuseppe Modica, Mariano Giaquinta

Publication date: 28 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500015006

zbMATH Keywords

Riemannian manifoldvariational integralgap phenomenon

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Variational problems in infinite-dimensional spaces (58E99)

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The Landau-Lifshitz equation with the external field -- a new extension for harmonic maps with values in \(S^ 2\), Regularity for multi-phase variational problems, Some new properties of Sobolev mappings: intersection theoretical approach, Local minimizers and quasiconvexity -- the impact of topology, Energy estimate, energy gap phenomenon, and relaxed energy for Yang-Mills functional

Cites Work

• A remark on \(H^ 1\) mappings
• Normal and integral currents
• Unnamed Item